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Statistics for Data Science II, Quiz 1
Naveen tosses a fair coin twice and Suman tosses another fair coin two times. Let the random variables X and Y denote the number of heads observed by Naveen and Suman respectively. Identify the correct joint PMF table of X and Y .
Naveen tosses a fair coin twice and Suman tosses another fair coin two times. Let the random variables *X* and *Y* denote the number of heads observed by Naveen and Suman respectively. Identify the correct joint PMF table of *X* and *Y* . Suppose *X* and *Y* are independent random variables with means 10 and 20, and variances 2 and 4, respectively. Find the value of Var( *XY* ).\ Hint: If *X* and *Y* are independent, then *X*² and *Y*² are also independent. Figure from the original question paper